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java - Which data type or data structure to choose to calculate factorial of 100?

I thought of writing a program to evaluate factorial of a given integer.

Following basics I wrote the below code in java :

long fact(int num){
if(num == 1)
 return 1;
else
 return num*fact(num-1);
}

But then I realized that for many integer input the result may not be what is desired and hence for testing directly gave input as 100.

My doubt was true as Result I got was "0"(cause result might be out of range of long).

So,I am just curious and eager to know as how may I make my program work for inputs<=150.

I would appreciate any valid solution in C programming language or Java.

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BigInteger is your class. It can store integers of seemingly any size.

    static BigInteger fact(BigInteger num) {
        if (num.equals(BigInteger.ONE))
            return BigInteger.ONE;
        else
            return num.multiply(fact(num.subtract(BigInteger.ONE)));
    }

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